diff --git a/src/Paragraph.cpp b/src/Paragraph.cpp
index d129cb403e..311e952807 100644
--- a/src/Paragraph.cpp
+++ b/src/Paragraph.cpp
@@ -1005,7 +1005,7 @@ void Paragraph::Private::latexInset(BufferParams const & bparams,
 	bool close = false;
 	odocstream::pos_type const len = os.os().tellp();
 
-	if (inset->forceLTR()
+	if (inset->forceLTR(runparams)
 	    && running_font.isRightToLeft()
 	    // ERT is an exception, it should be output with no
 	    // decorations at all
diff --git a/src/insets/Inset.cpp b/src/insets/Inset.cpp
index 93866bacd7..397a8d0380 100644
--- a/src/insets/Inset.cpp
+++ b/src/insets/Inset.cpp
@@ -246,7 +246,7 @@ bool Inset::allowEmpty() const
 }
 
 
-bool Inset::forceLTR() const
+bool Inset::forceLTR(OutputParams const &) const
 {
 	return getLayout().forceLTR();
 }
diff --git a/src/insets/Inset.h b/src/insets/Inset.h
index 0f76671ea8..f458121e7d 100644
--- a/src/insets/Inset.h
+++ b/src/insets/Inset.h
@@ -242,7 +242,7 @@ public:
 	/// Don't eliminate empty paragraphs
 	virtual bool allowEmpty() const;
 	/// Force inset into LTR environment if surroundings are RTL
-	virtual bool forceLTR() const;
+	virtual bool forceLTR(OutputParams const &) const;
 	/// whether to include this inset in the strings generated for the TOC
 	virtual bool isInToc() const;
 
diff --git a/src/insets/InsetGraphics.h b/src/insets/InsetGraphics.h
index b92f19bb20..2cba4f05fa 100644
--- a/src/insets/InsetGraphics.h
+++ b/src/insets/InsetGraphics.h
@@ -110,7 +110,7 @@ private:
 	///
 	std::string contextMenuName() const;
 	/// Force inset into LTR environment if surroundings are RTL
-	bool forceLTR() const { return true; }
+	bool forceLTR(OutputParams const &) const { return true; }
 	///
 	void doDispatch(Cursor & cur, FuncRequest & cmd);
 	///
diff --git a/src/insets/InsetHyperlink.h b/src/insets/InsetHyperlink.h
index a70200cc75..d5da130d76 100644
--- a/src/insets/InsetHyperlink.h
+++ b/src/insets/InsetHyperlink.h
@@ -32,7 +32,7 @@ public:
 	///
 	bool hasSettings() const { return true; }
 	///
-	bool forceLTR() const { return true; }
+	bool forceLTR(OutputParams const &) const { return true; }
 	///
 	bool isInToc() const { return true; }
 	///
diff --git a/src/insets/InsetInfo.cpp b/src/insets/InsetInfo.cpp
index 2e42ad0e0a..58cd25be5f 100644
--- a/src/insets/InsetInfo.cpp
+++ b/src/insets/InsetInfo.cpp
@@ -743,7 +743,7 @@ void InsetInfo::setText(docstring const & str, Language const * lang)
 }
 
 
-bool InsetInfo::forceLTR() const
+bool InsetInfo::forceLTR(OutputParams const &) const
 {
 	return params_.force_ltr;
 }
diff --git a/src/insets/InsetInfo.h b/src/insets/InsetInfo.h
index 2f1b65153b..6fa080d2be 100644
--- a/src/insets/InsetInfo.h
+++ b/src/insets/InsetInfo.h
@@ -196,7 +196,7 @@ public:
 	///
 	void doDispatch(Cursor & cur, FuncRequest & cmd);
 	/// Force inset into LTR environment if surroundings are RTL
-	bool forceLTR() const;
+	bool forceLTR(OutputParams const &) const;
 	///
 	void setInfo(std::string const & info);
 	///
diff --git a/src/insets/InsetRef.cpp b/src/insets/InsetRef.cpp
index e8eecedde9..82db322320 100644
--- a/src/insets/InsetRef.cpp
+++ b/src/insets/InsetRef.cpp
@@ -471,11 +471,16 @@ void InsetRef::validate(LaTeXFeatures & features) const
 		features.require("nameref");
 }
 
-bool InsetRef::forceLTR() const
+bool InsetRef::forceLTR(OutputParams const & rp) const
 {
-	// We force LTR for references. Namerefs are output in the scripts direction
-	// at least with fontspec/bidi, though (see #11518).
+	// We force LTR for references. However,
+	// * Namerefs are output in the scripts direction
+	//   at least with fontspec/bidi and luabidi, though (see #11518).
+	// * Parentheses are automatically swapped with XeTeX/bidi 
+	//   [not with LuaTeX/luabidi] (see #11626).
 	// FIXME: Re-Audit all other RTL cases.
+	if (rp.useBidiPackage())
+		return false;
 	return (getCmdName() != "nameref" || !buffer().masterParams().useNonTeXFonts);
 }
 
diff --git a/src/insets/InsetRef.h b/src/insets/InsetRef.h
index 3e3e7b07d9..c1860e1a4c 100644
--- a/src/insets/InsetRef.h
+++ b/src/insets/InsetRef.h
@@ -73,7 +73,7 @@ public:
 	void addToToc(DocIterator const & di, bool output_active,
 				  UpdateType utype, TocBackend & backend) const;
 	///
-	bool forceLTR() const;
+	bool forceLTR(OutputParams const &) const;
 	//@}
 
 	/// \name Static public methods obligated for InsetCommand derived classes
diff --git a/src/mathed/InsetMathHull.h b/src/mathed/InsetMathHull.h
index 73de59f0a2..a6fc8c9d64 100644
--- a/src/mathed/InsetMathHull.h
+++ b/src/mathed/InsetMathHull.h
@@ -172,7 +172,7 @@ public:
 	void initUnicodeMath() const;
 
 	/// Force inset into LTR environment if surroundings are RTL
-	virtual bool forceLTR() const { return true; }
+	virtual bool forceLTR(OutputParams const &) const { return true; }
 	///
 	void recordLocation(DocIterator const & di);